149907840 has 128 divisors (see below), whose sum is σ = 481766400. Its totient is φ = 39647232.

The previous prime is 149907833. The next prime is 149907841. The reversal of 149907840 is 48709941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 149907792 and 149907801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149907841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312721 + ... + 313199.

It is an arithmetic number, because the mean of its divisors is an integer number (3763800).

Almost surely, 2^149907840 is an apocalyptic number.

149907840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240883200).

149907840 is an abundant number, since it is smaller than the sum of its proper divisors (331858560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149907840 is a wasteful number, since it uses less digits than its factorization.

149907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 149907840 is about 12243.6857195862. The cubic root of 149907840 is about 531.2204460606.

The spelling of 149907840 in words is "one hundred forty-nine million, nine hundred seven thousand, eight hundred forty".